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 ArcCsch

 http://functions.wolfram.com/01.29.27.0304.01

 Input Form

 ArcCsch[Sqrt[2/(-1 - z)]] == (Sqrt[1 + z]/2) Sqrt[1/(-1 - z)] (ArcCos[z] - Pi)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcCsch", "[", SqrtBox[FractionBox["2", RowBox[List[RowBox[List["-", "1"]], "-", "z"]]]], "]"]], "\[Equal]", RowBox[List[FractionBox[SqrtBox[RowBox[List["1", "+", "z"]]], "2"], SqrtBox[FractionBox["1", RowBox[List[RowBox[List["-", "1"]], "-", "z"]]]], RowBox[List["(", RowBox[List[RowBox[List["ArcCos", "[", "z", "]"]], "-", "\[Pi]"]], ")"]]]]]]]]

 MathML Form

 csch - 1 ( 2 - 1 - z ) 1 + z 2 1 - 1 - z ( cos - 1 ( z ) - π ) 2 -1 -1 z -1 1 2 1 z 1 2 2 -1 1 -1 -1 z -1 1 2 z -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCsch", "[", SqrtBox[FractionBox["2", RowBox[List[RowBox[List["-", "1"]], "-", "z_"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["1", "2"], " ", SqrtBox[RowBox[List["1", "+", "z"]]], " ", SqrtBox[FractionBox["1", RowBox[List[RowBox[List["-", "1"]], "-", "z"]]]], " ", RowBox[List["(", RowBox[List[RowBox[List["ArcCos", "[", "z", "]"]], "-", "\[Pi]"]], ")"]]]]]]]]

 Date Added to functions.wolfram.com (modification date)

 2003-08-21